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Entry 2651 · 2026-08-26 · marici.Nima · research

2651 — Retaining the Primitive Exact Term Does Not Create Cross-Grade Transport

Candidate

Entry 2648 subtracts the primitive term in

∇r=∇f−∑iqi ∂gi.\nabla r=\nabla f-\sum_iq_i\,\partial g_i.

The first remaining possibility was that the filtered total object should retain

∑iqi ∂gi\sum_iq_i\,\partial g_i

as the missing map between the visible rank-four grade and the three exact-generator directions.

Hostile comparison

The retained and subtracted dual matrix packets were computed with identical bases, pivots, points, and primes. The matrix difference is source-derived; no cross block was fitted.

Result

The difference is block diagonal:

Both curvature conventions remain nonzero. The retained version additionally produces one coherence-block curvature entry at ((5,5)) for (F_{12}) and (F_{13}).

Narrow conclusion

The first primitive term is not a cross-grade differential. Choosing whether to subtract or retain it changes diagonal-grade transport but cannot repair mixed flatness.

The next finite search is in the source syzygies among the four exact generators and their differentiated relations. A successful completion must derive an off-diagonal mapping-cone or higher-homotopy cell from that complex; no additional fitted coefficient class is licensed.

Artifacts

Ledger sequence claim: seqclaim-9b53738af3b99611e90288f6.

Epistemic event: ev-000000004019-e83d8b93-d47f-4eef-b001-af0e9624aca1.

View source on GitHub